{
  "id": "0911.3765",
  "version": "v1",
  "published": "2009-11-19T11:36:07.000Z",
  "updated": "2009-11-19T11:36:07.000Z",
  "title": "Derivative Polynomials and Closed-Form Higher Derivative Formulae",
  "authors": [
    "Djurdje Cvijović"
  ],
  "comment": "7 pages",
  "journal": "Appl. Math. Comput. 215 (2009) 3002--3006",
  "categories": [
    "math.CA"
  ],
  "abstract": "In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions. In this sequel, simple closed-form higher derivative formulae which involve the Carlitz-Scoville higher order tangent and secant numbers are derived for eight trigonometric and hyperbolic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-19T11:36:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B10",
      "33E20",
      "11B68",
      "26A06",
      "26A09"
    ],
    "keywords": [
      "derivative polynomials",
      "carlitz-scoville higher order tangent",
      "simple closed-form higher derivative formulae",
      "closed form symbolic derivatives",
      "hurwitz function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Math. Comp."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3765C"
    }
  }
}